Derive the equation of the parabola with a focus at (6, 2) and a directrix of y = 1.

As the directrix is parallel to x-axis, the concavity of the parabola will be in vertical. Then, the general equation is in the form: , where are the coordinates of the vertice and p is the parameter (distance between the focus and the directrix). The parameter is . The vertice is the midpoint between the focus and the projection of the focus in the directrix. Then, the vertice is . Hence, the parabola is: Now, derivating:

What do you mean i don’t understand

Ibelieve the answer is c